Relationship for Cubic Polynomials

📖 Cubic Polynomial

p(x) = ax³ + bx² + cx + d

(a ≠ 0)

• Can have up to 3 zeroes
• Three relationships exist
• More complex than quadratic

🎯 Three Key Formulas

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Three zeroes lead to three beautiful relationships!

⚡ Key Insight

Pattern extends from quadratic

• Sum relates to coefficient of x²
• Pair products relate to coefficient of x
• Product relates to constant term